Chen B. H.,J. P. Li, and R. Q. Ding, 2006: Nonlinear local Lyapunov exponent and atmospheric predictability research. Science in China Series D: Earth Sciences, 49, 1111-1120, https://doi.org/10.1007/s11430-006-1111-0 |
Chou J. F.,1989: Predictability of the atmosphere. Adv. Atmos. Sci., 6(3), 335-346, https://doi.org/10.1007/BF02661539 |
Dalcher A.,E. Kalnay, 1987: Error growth and predictability in operational ECMWF forecasts. Tellus A: Dynamic Meteorology and Oceanography, 39, 474-491, https://doi.org/10.3402/tellusa.v39i5.11774 |
Ding R. Q.,J. P. Li, 2007: Nonlinear finite-time Lyapunov exponent and predictability. Physics Letters A, 364, 396-400, https://doi.org/10.1016/j.physleta.2006.11.094 |
Ding R. Q.,J. P. Li, 2009: Application of nonlinear error growth dynamics in studies of atmospheric predictability. Acta Meteorologica Sinica, 67, 241-249, https://doi.org/10.11676/qxxb2009.024 |
Ding R. Q.,J. P. Li, and K. J. Ha, 2008: Nonlinear local Lyapunov exponent and quantification of local predictability. Chinese Physics Letters, 25, 1919-1922, https://doi.org/10.1088/0256-307X/25/5/109 |
Ding R. Q.,J. P. Li, and K. H. Seo, 2010: Predictability of the Madden-Julian oscillation estimated using observational data. Mon. Wea. Rev., 138, 1004-1013, https://doi.org/10.1175/2009MWR3082.1 |
Ding R. Q.,J. P. Li, F. Zheng, J. Feng, and D. Q. Liu, 2015: Estimating the limit of decadal-scale climate predictability using observational data. Climate Dyn., 46, 1563-1580, https://doi.org/10.1007/s00382-015-2662-6 |
Duan W. S.,M. Mu, 2009: Conditional nonlinear optimal perturbation: Applications to stability, sensitivity, and predictability. Science in China Series D: Earth Sciences, 52, 883-906, https://doi.org/10.1007/s11430-009-0090-3 |
Duan W. S.,R. Q. Ding, and F. F. Zhou, 2013: Several dynamical methods used in predictability studies for numerical weather forecasts and climate prediction. Climatic and Environmental Research, 18, 524-538, https://doi.org/10.3878/j.issn.1006-9585.2012.12009 |
Farrell B. F.,1990: Small error dynamics and the predictability of atmospheric flows. J. Atmos. Sci., 47, 2409, https://doi.org/10.1175/1520-0469(1990)047<2409:SEDATP>2.0.CO;2 |
Feng G. L.,H. X. Cao, X. Q. Gao, W. J. Dong, and J. F. Chou, 2001: Prediction of precipitation during summer monsoon with self-memorial model. Adv. Atmos. Sci, 18(5), 701-709, https://doi.org/10.1007/BF03403495 |
Gao X. Q.,G. L. Feng, W. J. Dong, and J. F. Chou, 2003: On the predictability of chaotic systems with respect to maximally effective computation time. Acta Mechanica Sinica, 19, 134-139, https://doi.org/10.1007/BF02487674 |
Lacarra J.-F.,O. Talagrand, 1988: Short-range evolution of small perturbations in a barotropic model. Tellus A: Dynamic Meteorology and Oceanography, 40, 81-95, https://doi.org/10.3402/tellusa.v40i2.11784 |
Leith, C. E., 1971: Atmospheric predictability and two-dimensional turbulence. J. Atmos. Sci., 28, 145, https://doi.org/10.1175/1520-0469(1971)028<0145:APATDT>2.0.CO;2 |
Li J. P.,R. Q. Ding, 2011a: Temporal-spatial distribution of atmospheric predictability limit by local dynamical analogs. Mon. Wea. Rev., 139, 3265-3283, https://doi.org/10.1175/MWR-D-10-05020.1 |
Li J. P.,R. Q. Ding, 2011b: Relationship between the predictability limit and initial error in chaotic systems. Chaotic Systems, InTech, 39- 50. |
Li J. P.,R. Q. Ding, 2013: Temporal-spatial distribution of the predictability limit of monthly sea surface temperature in the global oceans. International Journal of Climatology, 33, 1936-1947, https://doi.org/10.1002/joc.3562 |
Lorenz E. N.,1963: Deterministic nonperiodic flow. J. Atmos. Sci., 20, 130, https://doi.org/10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2 |
Lorenz E. N.,1965: A study of the predictability of a 28-variable atmospheric model. Tellus, 17, 321-333, https://doi.org/10.3402/tellusa.v17i3.9076 |
Lorenz E. N.,1969a: The predictability of a flow which possesses many scales of motion. Tellus, 21, 289-307, https://doi.org/10.1111/j.2153-3490.1969.tb00444.x |
Lorenz E. N.,1969b: Atmospheric predictability as revealed by naturally occurring analogues. J. Atmos. Sci., 26, 636, https://doi.org/10.1175/1520-0469(1969)26<636:APARBN>2.0.CO;2 |
Lorenz E. N.,1982: Atmospheric predictability experiments with a large numerical model. Tellus, 34, 505-513, https://doi.org/10.3402/tellusa.v34i6.10836 |
Lorenz E. N.,1996: Predictability: A problem partly solved. Proc Seminar on Predictability, Shinfield Park, Reading, ECMWF, 1- 18.75773419a68af1092b2270e2d8d30427http://xueshurefer.baidu.com/nopagerefer?id=afac2a3d983c43e5c7e89a8137a92386 |
Luo J.-J.,S. Masson, S. K. Behera, and T. Yamagata, 2008: Extended ENSO predictions using a fully coupled ocean-atmosphere model. J. Climate, 21, 84-93, https://doi.org/10.1175/2007JCLI1412.1 |
Mu M.,J. C. Wang, 2001: Nonlinear fastest growing perturbation and the first kind of predictability. Science in China Series D: Earth Sciences, 44, 1128-1139, https://doi.org/10.1007/BF02906869 |
Mu M.,W. S. Duan, 2003: A new approach to studying ENSO predictability: Conditional nonlinear optimal perturbation. Chinese Science Bulletin, 48, 1045-1047, https://doi.org/10.1007/BF03184224 |
Mu M.,W. S. Duan, and J. C. Wang, 2002: The predictability problems in numerical weather and climate prediction. Adv. Atmos. Sci., 19(2), 191-204, https://doi.org/10.1007/s00376-002-0016-x |
Mu M.,H. Xu, and W. S. Duan, 2007: A kind of initial errors related to "spring predictability barrier" for El NiÑo events in Zebiak-Cane model. Geophys. Res. Lett., 34, L03709, https://doi.org/10.1029/2006GL027412 |
Mukougawa H.,M. Kimoto, and S. Yoden, 1991: A relationship between local error growth and quasi-stationary states: Case study in the Lorenz system. J. Atmos. Sci., 48, 1231-1237, https://doi.org/10.1175/1520-0469(1991)048<1231:ARBLEG>2.0.CO;2 |
Nese J. M.,1989: Quantifying local predictability in phase space. Physica D: Nonlinear Phenomena, 35, 237-250, https://doi.org/10.1016/0167-2789(89)90105-X |
Peng Y. H.,W. S. Duan, and J. Xiang, 2011: Effect of stochastic MJO forcing on ENSO predictability. Adv. Atmos. Sci., 28(6), 1279-1290, https://doi.org/10.1007/s00376-011-0126-4 |
Simmons A. J.,R. Mureau, and T. Petroliagis, 1995: Error growth and estimates of predictability from the ECMWF forecasting system. Quart. J. Roy. Meteor. Soc., 121, 1739-1771, https://doi.org/10.1002/qj.49712152711 |
Thompson P. D.,1957: Uncertainty of initial state as a factor in the predictability of large scale atmospheric flow patterns. Tellus, 9, 275-295, https://doi.org/10.3402/tellusa.v9i3.9111 |
Toth Z.,1991: Estimation of atmospheric predictability by circulation analogs. Mon. Wea. Rev., 119, 65, https://doi.org/10.1175/1520-0493(1991)119<0065:EOAPBC>2.0.CO;2 |
Trevisan A.,R. Legnani, 1995: Transient error growth and local predictability: A study in the Lorenz system. Tellus A: Dynamic Meteorology and Oceanography, 47, 103-117, https://doi.org/10.3402/tellusa.v47i1.11496 |
Yoden S.,M. Nomura, 1993: Finite-time Lyapunov stability analysis and its application to atmospheric predictability. J. Atmos. Sci., 50, 1531, https://doi.org/10.1175/1520-0469(1993)050<1531:FTLSAA>2.0.CO;2 |
Zhou F. F.,R. Q. Ding, G. L. Feng, Z. T. Fu, and W. S. Duan, 2012: Progress in the study of nonlinear atmospheric dynamics and predictability of weather and climate in China (2007-2011). Adv. Atmos. Sci., 29(5), 1048-1062, https://doi.org/10.1007/s00376-012-1204-y |
Ziehmann C.,L. A. Smith, and J. Kurths, 2000: Localized Lyapunov exponents and the prediction of predictability. Physics Letters A, 271, 237-251, https://doi.org/10.1016/S0375-9601(00)00336-4 |
Zou M. W.,G. L. Feng, and X. Q. Gao, 2006: Sensitivity of intrinsic mode functions of Lorenz system to initial values based on EMD method. Chinese Physics, 15, 1384-1390, https://doi.org/10.1088/1009-1963/15/6/043 |